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Catalogue Information
Field name	Details
Dewey Class	516.35 (DDC 22)
Title	Fourier-Mukai transforms in algebraic geometry ([Ebook]) / D. Huybrechts.
Author	Huybrechts, Daniel
Other name(s)	Oxford Scholarship Online
Publication	Oxford : Oxford University Press , 2007
Physical Details	1 online resource
Series	Oxford mathematical monographs
ISBN	9780191711329
Note	Print publication date: 2006. - Published to Oxford Scholarship Online: September 2007
Summary Note	This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.:
Mode of acces to digital resource	Electronic reproduction. Oxford : Oxford University Press, 2007. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher)
System details note	Online access to this digital book is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001
Links to Related Works	Subject References: Fourier transformations . Geometry, Algebraic . Transformations (Mathematics) . Authors: Huybrechts, Daniel . Corporate Authors: Oxford Scholarship Online . Series: Oxford mathematical monographs . Classification: 516.35 (DDC 22) .

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Fourier-Mukai transforms in algebraic geometry

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